What is the answer to (3x)/4 =(2x+7)/5 ?

The answer to (3x)/4 =(2x+7)/5 is x=4

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(3x)/4 =(2x+7)/5

\frac{3 x}{4} = \frac{2 x + 7}{5}

x = 4

Solution steps

\frac{3 x}{4} = \frac{2 x + 7}{5}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

3 x \cdot 5 = 4 (2 x + 7)

Simplify

15 x = 4 (2 x + 7)

Expand

4 (2 x + 7) : 8 x + 28

15 x = 8 x + 28

Move

8 x

to the left side

7 x = 28

Divide both sides by

7

x = 4

\frac{1 - 6 x}{2} - \frac{2 x + 19}{12} = \frac{23 - 2 x}{3}

x^{2} + 11 x = 7 x + 21

5 x - 3 (3 x - 3 + 2 x) \geq 2 (3 x - 20 + 4 x)

\frac{100 !}{98 !}